Articles | Volume 15, issue 5
Nonlin. Processes Geophys., 15, 711–725, 2008

Special issue: Nonlinear and Scaling Processes in Hydrology and Soil...

Nonlin. Processes Geophys., 15, 711–725, 2008

  03 Sep 2008

03 Sep 2008

Mapping soil fractal dimension in agricultural fields with GPR

K. Oleschko1, G. Korvin2, A. Muñoz3, J. Velazquez3, M. E. Miranda4, D. Carreon1, L. Flores4, M. Martínez5, M. Velásquez-Valle3, F. Brambila6, J.-F. Parrot7, and G. Ronquillo8 K. Oleschko et al.
  • 1Centro de Geociencias, Querétaro, México
  • 2King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
  • 3CENAPROS, INIFAP, Morelia, México
  • 4Dept. Edafología, Instituto de Geología, Universidad Nacional Autónoma de México (UNAM), México
  • 5Colegio de Postgraduados, Montecillos, México
  • 6President of Mexican Society of Mathematics, México
  • 7Instituto de Geografia, Universidad Nacional Autónoma de México (UNAM), México
  • 8Instituto Mexicano del Petroleo, México

Abstract. We documented that the mapping of the fractal dimension of the backscattered Ground Penetrating Radar traces (Fractal Dimension Mapping, FDM) accomplished over heterogeneous agricultural fields gives statistically sound combined information about the spatial distribution of Andosol' dielectric permittivity, volumetric and gravimetric water content, bulk density, and mechanical resistance under seven different management systems. The roughness of the recorded traces was measured in terms of a single number H, the Hurst exponent, which integrates the competitive effects of volumetric water content, pore topology and mechanical resistance in space and time. We showed the suitability to combine the GPR traces fractal analysis with routine geostatistics (kriging) in order to map the spatial variation of soil properties by nondestructive techniques and to quantify precisely the differences under contrasting tillage systems. Three experimental plots with zero tillage and 33, 66 and 100% of crop residues imprinted the highest roughness to GPR wiggle traces (mean HR/S=0.15), significantly different to Andosol under conventional tillage (HR/S=0.47).